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New binary self-dual codes of lengths 80, 84 and 96 from composite matrices

Gildea, Joe
; 
Korban, Adrian
; 
Roberts, Adam
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Affiliation
University of Chester
EPub Date
Publication Date
2021-12-19
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Mathematics
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Abstract
In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative Frobenius rings. By applying these techniques over different alphabets, we construct best known singly-even binary self-dual codes of lengths 80, 84 and 96 as well as doubly-even binary self-dual codes of length 96 that were not known in the literature before.
Citation
Gildea, J., Korban, A., & Roberts, A. M. (2022). New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Designs, Codes and Cryptography, 90, 317–342. https://doi.org/10.1007/s10623-021-00976-3
Publisher
Springer
Journal
Designs, Codes and Cryptography
Research Unit
URI
http://hdl.handle.net/10034/628968
DOI
10.1007/s10623-021-00976-3
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PubMed Central ID
Type
Article
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Description
The version of record of this article, first published in [Designs, Codes and Cryptography], is available online at Publisher’s website: http://dx.doi.org/10.1007/s10623-021-00976-3
Series/Report no.
ISSN
0925-1022
EISSN
1573-7586
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Unfunded
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https://link.springer.com/article/10.1007/s10623-021-00976-3